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Irina18 [472]
3 years ago
11

X^2-5x=14 solve for x

Mathematics
2 answers:
elixir [45]3 years ago
8 0

Answer:

x=7, -2.

Step-by-step explanation:

x^2-5x=14

x^2-5x-14=0

factor out the trinomial,

(x-7)(x+2)=0

zero property,

x-7=0, x+2=0,

x=0+7=7,

x=0-2=-2

crimeas [40]3 years ago
4 0

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

x² - 5x = 14 ( subtract 14 from both sides )

x² - 5x - 14 = 0 ← in standard form

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are - 7 and + 2, since

- 7 × 2 = - 14 and - 7 + 2 = - 5, thus

(x - 7)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

You might be interested in
Which of these values is the farthest from zero? 0.75,0.25, 2/3, 7/8
prohojiy [21]

Answer:

7/8

Step-by-step explanation:

numbers in ascending order

0, 0.25, 2/3, 0.75, 7/8

8 0
3 years ago
A survey of 500 high school students was taken to determine their favorite chocolate candy. Of the 500 students surveyed, 149 li
fenix001 [56]

Answer:

109 students like Reese's Peanut Butter Cups or Snickers, but not Twix.

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of this set.

I am going to say that:

-The set A represents the students that like Snickers.

-The set B represents the students that like Twix.

-The set C represents the students that like Reese's Peanut Butter.

We have that:

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

In which a is the number of student that only like Snickers, A \cap B is the number of students that like both Snickers and Twix, A \cap C is the number of students that like both Reese's and Snickers. And A \cap B \cap C is the number of students that like all these flavors.

By the same logic, we have:

B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix?

This are those who like any of these two or both. So:

a + b + (A \cap C)

We start finding the values from the intersection of three sets.

19 like all three kinds of chocolate candy. This means that

(A \cap B \cap C) = 19

31 like Snickers and Reese's Peanut Butter Cups: This means that

(A \cap C) + (A \cap B \cap C) = 31

(A \cap C) = 12

82 like Twix and Reese's Peanut Butter Cups

(B \cap C) + (A \cap B \cap C) = 82

(B \cap C) = 73

70 like Snickers and Twix

(A \cap B) + (A \cap B \cap C) = 70

(A \cap B) = 51

134 like Reese's Peanut Butter Cups

C = 134

C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)

c + 12 + 73 + 19 = 134

c = 30

149 like Snickers

A = 149

A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)

a + 51 + 12 + 19 = 149

a = 67

How many students like Reese's Peanut Butter Cups or Snickers, but not Twix?

a + b + (A \cap C) = 67 + 30 + 12 = 109

109 students like Reese's Peanut Butter Cups or Snickers, but not Twix.

6 0
3 years ago
A hot air balloon rises straight up 500 feet, then catches a breeze and is blown west 1,000 feet. How far is the balloon from th
Ann [662]
Would it still be one thousand feet?
Because the 500 shouldn't matter
If it does then it's 1500
8 0
3 years ago
Read 2 more answers
HELP ASAP PLEASE AND THANKS IN ADVANCED....I NEED TO GET THIS DONE !!!!!!!!!
AVprozaik [17]
I think b is the answer
8 0
3 years ago
The two triangles below are similar. What is the similarity ratio of ∆ABC to ∆DEF?
Schach [20]

Answer:

Option C is correct

Step-by-step explanation:

The two triangles are similar if there sides are proportional to each other

So, In Triangle ABC and Triangle DEF

AB/DE=BC/EF=AC/FD

according to definition of similar triangles.

We are given AC = 8

and FD = 4

So, AC/FD = 8/4 = 2/1

or 2:1

So, Option C is correct

7 0
3 years ago
Read 2 more answers
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